Finding the Third Proportional to 510,680 and 715,611

Step by Step Solution

1. Step 1: Write the proportion equation
   510,680 : 715,611 = 715,611 : x
2. Step 2: Convert to fraction form
   510,680/715,611 = 715,611/x
3. Step 3: Cross multiply
   510,680x = 715,611 × 715,611
4. Step 4: Simplify right side
   510,680x = 512,099,103,321
5. Step 5: Solve for x
   x = 512,099,103,321/510,680
6. Step 6: Final answer
   x = 1,002,778.85